On the topology of the complements of reducible plane curves via Galois covers

Abstract

Let $\mathcal{B}$ be a reducible reduced plane curve. We introduce a new point of view to study the topology of $(\PP^2, {\mathcal {B}})$ via Galois covers and Alexander polynomials. We show its effectiveness through examples of Zariski $N$-plets for conic and conic-quartic configurations.

17 pages

References in corpus (1)

• On the Abel-Jacobi map for bisections of rational elliptic surfaces and Zariski $N$-plet for conic arrangements